A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized: y = ?0 + ?1x + ?where y = traffic flow in vehicles per hour x = vehicle speed in miles per hour.The following data were collected during rush hour for six highways leading out of the city. Traffic Flow(y) Vehicle Speed(x) 1,254 35 1,330 40 1,228 30 1,334 45 1,351 50 1,126 25 In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation. ŷ = b0 + b1x + b2x2 (a) Develop an estimated regression equation for the data of the form ŷ = b0 + b1x + b2x2. (Roundb 0 to the nearest integer andb 1 to two decimal places andb 2 to three decimal places.) ŷ = (b) Use ? = 0.01 to test for a significant relationship. Find the value of the test statistic. (Round your answer to two decimal places.) Find thep-value. (Round your answer to three decimal places.) p-value = (c) base on the model predict the traffic flow in vehicles per hour at a speed of 38 miles per hour. (Round your answer to two decimal places.) _____ vehicles per hour

A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized: y = ? 0 + ? 1 x + ? where y = traffic flow in vehicles per hour x = vehicle...

A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized:

y = ?₀ + ?₁x + ?

where

The following data were collected during rush hour for six highways leading out of the city.

In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation.

ŷ = b₀ + b₁x + b₂x²

(a)

Develop an estimated regression equation for the data of the form

ŷ = b₀ + b₁x + b₂x².

(Roundb
₀ to the nearest integer andb
₁ to two decimal places andb
₂ to three decimal places.)

ŷ =

(b) Use ? = 0.01 to test for a significant relationship.

Find the value of the test statistic. (Round your answer to two decimal places.)

Find thep-value. (Round your answer to three decimal places.)

p-value =

(c)

base on the model predict the traffic flow in vehicles per hour at a speed of 38 miles per hour. (Round your answer to two decimal places.)

_____ vehicles per hour

Jun 09, 2022